Three infinite uniform sheets of charge are located in the free space as nC/m2 at z=1, and -8 nC/m² at z=4. Find electric field followings: 3 nC/m2 at z=-4, intensity E at the following point:P (0, 0, 2). P ++++ + I- 12 13 +++++ +++ -5
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- The figure shows a closed Gaussian surface in the shape of a cube of edge length 2.50 m. It lies in a region where the electric field is given by E = (1.60x +3.08)i +7.77 +5.70 kN/C, with x in meters. What is the net charge contained by the cube? Number i 1.2e-10 Units C xThe figure shows a closed Gaussian surface in the shape of a cube of edge length 2.40 m. It lies in a region where the electric field is given by E→ = (1.60x + 5.85)î + 4.53 ĵ + 5.44 k̂ N/C, with x in meters. What is the net charge contained by the cube?(a) Three point charges are located on the circumference of a circle of radius r, at the angles shown in the figure. 150° O 30° 270⁰ What is the electric field at the center of the circle due to these point charges? (Express your answer in vector form. Use the following as necessary: Ker q, and r.) 3k 3424 (-1) (b) What If? What is the minimum electric field magnitude that could be obtained at the center of the circle by moving one or more of the charges along the circle, with a minimum separation of 3.90° between each of the charges? Express your result as the ratio of this new electric field magnitude to the magnitude of the electric field found in part (a). Eminimum 0.0015 X Epart (a) Place the two charges +q at 0 = 270° ± y, where y is the smallest angle at which the charges do not overlap with the charge -2q, then write an expression for the electric field at the center.
- A -12 nC charge is located at (x,y)=(1.0 cm, 0 cm). What is the electric field at the position (x1,y1)=(5.0 m, 0c cm), (x2,y2)=(-5.0 cm, 0 cm) and (x3,y3)=(0 cm, 5.0 cm) in component form?Enter the xand y components of the electric field in newtons per coulomb separated by a comma.The figure shows, in cross section, three infinitely large nonconducting sheets on which charge is uniformly spread. The surface charge densities are o1 = 3.67 µC/m2, 02 = 4.78 µC/m2, and oz = -4.21 µC/m², and distance L = 1.80 cm. What are the (a) x and (b) y components of the net electric field at point P? L/2 2LA long solid copper cylinder has a radius of R = 3.0 cm and a uniform (linear) surface charge density of 4.5 µC/m. Part (a) What is the magnitude of the electric field, in newtons per coulomb, at a distance of 2.9 cm from the symmetry axis of the cylinder? E = 8.7 * 10(6) N/C sin() cos() tan() 8 9 HOME cotan() asin() acos() 4 5 atan() acotan() sinh() 12 3 cosh() tanh() cotanh() + - END ODegrees O Radians VOI BACKSPACE CLEAR DEL -You may apply Gauss' Law to a charge distribution with cylindrical symmetry. Additionally you may consider the behavior of electric fields in the vicinity of a conductor. Part (b) What is the magnitude of the electric field, in newtons per coulomb, at a distance of 4.2 cm from the symmetry axis of the cylinder? Part (c) Which graph best depicts the magnitude of the electric field versus the distance from the symmetry axis of the cylinder?
- Infinite uniform line charges of -4 nC/m lie along the (both positive and negative) x and y axes in free space. Find electric field intensity at P (0, 0, 2).Figure (a) shows a circular disk that is uniformly charged. The central z axis is perpendicular to the disk face, with the origin at the disk. Figure (b) gives the magnitude of the electric field along that axis in terms of the maximum magnitude Em at the disk surface. The z axis scale is set by zs = 24.0 cm. What is the radius of the disk?